Search a number
-
+
3412570260 = 223511223107191
BaseRepresentation
bin1100101101100111…
…1011000010010100
322210211100112100010
43023121323002110
523442104222020
61322343120220
7150365240301
oct31331730224
98724315303
103412570260
1114a1341600
127b2a43070
13425007558
142453200a8
1514e8dbde0
hexcb67b094

3412570260 has 288 divisors, whose sum is σ = 11119804416. Its totient is φ = 779820800.

The previous prime is 3412570247. The next prime is 3412570279. The reversal of 3412570260 is 620752143.

3412570260 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17866765 + ... + 17866955.

It is an arithmetic number, because the mean of its divisors is an integer number (38610432).

Almost surely, 23412570260 is an apocalyptic number.

3412570260 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3412570260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5559902208).

3412570260 is an abundant number, since it is smaller than the sum of its proper divisors (7707234156).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3412570260 is a wasteful number, since it uses less digits than its factorization.

3412570260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 3412570260 is about 58417.2085947283. The cubic root of 3412570260 is about 1505.5454379258.

The spelling of 3412570260 in words is "three billion, four hundred twelve million, five hundred seventy thousand, two hundred sixty".